Greatest Common Factor of 5908/746, 5279/9584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5908/746, 5279/9584

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5908/746,5279/9584

Given fractions are 5908/746,5279/9584

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5908,5279

Greatest Common Factor of Numerators i.e. GCF of 5908,5279 is 1 .

LCM of Denominators means LCM of 746,9584 as per the given fractions.

LCM of 746,9584 is 3574832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5908,5279

GCF of Fractions 5908/746,5279/9584 is 1/3574832

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5908,5279 By Matching Biggest Common Factor Method

Greatest Common Factor of 5908,5279 By Matching Biggest Common Factor Method

Factors of 5908

List of positive integer factors of 5908 that divides 5908 without a remainder.

1,2,4,7,14,28,211,422,844,1477,2954,5908

Factors of 5279

List of positive integer factors of 5279 that divides 5279 without a remainder.

1,5279

Greatest Common Factor

We found the factors 5908,5279 . The biggest common factor number is the GCF number.
So the greatest common factor 5908,5279 is 1.

Lets's calculate LCM of 746,9584

2 746, 9584
373, 4792

∴ So the LCM of the given numbers is 2 x 373 x 4792 = 3574832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3574832

Therefore, the GCF of Fractions 5908/746,5279/9584 is 1/3574832

Least Common Multiple of 746,9584 with GCF Formula

Least Common Multiple of 746,9584 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 746,9584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,9584) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(746,9584) x common factors =2 x 1 = 2

LCM(746,9584) = ( 746 × 9584 ) / 2

LCM(746,9584) = 7149664 / 2

LCM(746,9584) = 3574832


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5908/746, 5279/9584

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5908/746, 5279/9584?

Answer: GCF of Numerators as per given numbers 5908/746, 5279/9584 is

GCF of Numerators i.e. for 5908,5279 is 1

LCM of denominators i.e. for 746,9584 is 3574832.

Thus, GCF of Fractions is 1/3574832.Finally, GCF of Fractions for 5908/746, 5279/9584 is 1/3574832.